KVPY Government Jobs Exams

Two friends A and B are 30 km apart and they start simultaneously on motorcycles to meet each other. The speed of A is 3 times that of B. The distance between them decreases at the rate of 2 km per minute. Ten minutes after they start, A's vehicle breaks down and A stops and waits for B to arrive. After how much time (in minutes) A started riding, does B meet A?
option
(A) 15
(B) 20
(C) 25
(D) 30

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KVPY Other Question

The diameter of one of the bases of a truncated cone is 100 mm. If the diameter of this base is increased by
21% such that it still remains a truncated cone with the height and the other base unchanged, the volume also
increases by 21%. The radius of the other base (in mm) is-
(A) 65 (B) 55 (C) 45 (D) 35 Three taps A, B, C fill up a tank independently in 10 hr, 20 hr, 30 hr, respectively. Initially the tank is empty and exactly one pair of taps is open during each hour and every pair of taps is open at least for one hour. What is the minimum number of hours required to fill the tank?
option
(A) 8
(B) 9
(C) 10
(D) 11